A print engine is provided having printhead modules and a controller. Each printhead module has a plurality of ejection nozzles. The nozzles of at least one of the printhead modules is rotationally displaced relative to the other printhead modules. The controller communicates ejection data to the ejection nozzles in accordance with a cumulative correction factor for each printhead module, including printhead modules having non-rotationally displaced nozzles, to at least partially compensate for the rotational displacement.